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Finding the Third Proportional to 48,048 and 103,478

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Solution

The third proportional to 48,048 and 103,478 is: 222,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,048 : 103,478 = 103,478 : x
  2. Step 2: Convert to fraction form
    48,048/103,478 = 103,478/x
  3. Step 3: Cross multiply
    48,048x = 103,478 × 103,478
  4. Step 4: Simplify right side
    48,048x = 10,707,696,484
  5. Step 5: Solve for x
    x = 10,707,696,484/48,048
  6. Step 6: Final answer
    x = 222,854.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.